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Finding the Fourth Proportional to 68.19, 102.77 and 65.11

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Solution

The fourth proportional to 68.19, 102.77 and 65.11 is: 98.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.19 : 102.77 = 65.11 : x
  2. Step 2: Convert to fraction form
    68.19/102.77 = 65.11/x
  3. Step 3: Cross multiply
    68.19x = 102.77 × 65.11
  4. Step 4: Simplify right side
    68.19x = 6,691.35
  5. Step 5: Solve for x
    x = 6,691.35/68.19
  6. Step 6: Final answer
    x = 98.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.